Aspects of š¯’©=2 SUSY gauge theories and applications to Quantum Field Theory and Gravity
Abstract
This thesis investigates the application of techniques developed in supersymmetric gauge theories to physical problems in Quantum Field Theory and Gravity, focusing on the Seiberg-Witten (SW) curve and its quantum version. After reviewing the essential concepts of Supersymmetry and the derivation of the SW curve, we explore its applications in both fields. In Quantum Field Theory, we investigate the emergence of Argyres-Douglas theories in the moduli space of supersymmetric models, focusing on extremal correlators. We analyze a conformal model to compute their instanton corrections, finding agreement with predictions from Effective Field Theory, and discuss the implications for analogous observables in Argyres-Douglas theories. In Gravity, we exploit the quantum SW curve and its relation to differential equations describing physical systems. We establish the linear stability of Topological Stars, arising in the fuzzball proposal, under massive charged scalar perturbations. We also investigate charge superradiance in configurations with a horizon and derive a novel hypergeometric representation of the confluent Heun function, relevant to gravitational-wave propagation in the Schwarzschild background. This result yields a new resummed expression for waveform tail contributions, in excellent agreement with numerical data. Finally, beyond the SW formalism, we develop a Machine Learning algorithm based on Hamiltonian Neural Networks to reproduce the geodesics of a neutral particle in a fuzzball geometry. For critical trajectories, our method outperforms standard numerical integrators in both efficiency and accuracy.
Related
- Quantum Gravity Principles for 4d š¯’©=2 Supergravity Theories and Asymptotic Hodge Theory
- Perturbations and phenomenology of compact objects in quantum gravity theories
- A quantum theory of gravity
- Emergent gravity from topological quantum field theory: Stochastic gradient flow perspective away from the quantum gravity problem
- Tameness and Complexity in Quantum Field Theory and Gravity
BibTeX
@misc{cipriani2026aspects,
title = {{Aspects of $\mathcalN=2$ SUSY gauge theories and applications to Quantum Field Theory and Gravity}},
author = {Andrea Cipriani},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15619},
eprint = {2610.15619},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15619},
}
RIS
TY - UNPB
TI - Aspects of š¯’©=2 SUSY gauge theories and applications to Quantum Field Theory and Gravity
AU - Andrea Cipriani
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15619
UR - https://arxiv.org/abs/2610.15619
AB - This thesis investigates the application of techniques developed in supersymmetric gauge theories to physical problems in Quantum Field Theory and Gravity, focusing on the Seiberg-Witten (SW) curve and its quantum version. After reviewing the essential concepts of Supersymmetry and the derivation of the SW curve, we explore its applications in both fields. In Quantum Field Theory, we investigate the emergence of Argyres-Douglas theories in the moduli space of supersymmetric models, focusing on extremal correlators. We analyze a conformal model to compute their instanton corrections, finding agreement with predictions from Effective Field Theory, and discuss the implications for analogous observables in Argyres-Douglas theories. In Gravity, we exploit the quantum SW curve and its relation to differential equations describing physical systems. We establish the linear stability of Topological Stars, arising in the fuzzball proposal, under massive charged scalar perturbations. We also investigate charge superradiance in configurations with a horizon and derive a novel hypergeometric representation of the confluent Heun function, relevant to gravitational-wave propagation in the Schwarzschild background. This result yields a new resummed expression for waveform tail contributions, in excellent agreement with numerical data. Finally, beyond the SW formalism, we develop a Machine Learning algorithm based on Hamiltonian Neural Networks to reproduce the geodesics of a neutral particle in a fuzzball geometry. For critical trajectories, our method outperforms standard numerical integrators in both efficiency and accuracy.
ER -